349168320 has 280 divisors, whose sum is σ = 1309268400. Its totient is φ = 88086528.

The previous prime is 349168307. The next prime is 349168327. The reversal of 349168320 is 23861943.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349168327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492126 + ... + 492834.

Almost surely, 2^349168320 is an apocalyptic number.

349168320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654634200).

349168320 is an abundant number, since it is smaller than the sum of its proper divisors (960100080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349168320 is a wasteful number, since it uses less digits than its factorization.

349168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 349168320 is about 18686.0461307362. The cubic root of 349168320 is about 704.1712307319.

The spelling of 349168320 in words is "three hundred forty-nine million, one hundred sixty-eight thousand, three hundred twenty".